Examples for secondary school students - page 144 of 230
Number of problems found: 4582
- According 5819
According to the sowing plan, sugar beet and grain are to be sown on an area of 840 ha. The area sown with sugar beet should be three times larger than the area sown with grain. What area should the grain be on?
- Increases 5807
7.18% of the wood mass increases in the forest every year. How many years will the timber double with a steady annual increase?
- Exactly 5803
There are 15 black and 20 white balls in Destiny. How many ways can six balls be drawn to have exactly two whites between them?
- Tractors
Two tractors plow the field for 4 hours together. If the first tractor plowed half of the field and then the second tractor completed the job, it would take 9 hours. How many hours does the field plow for each tractor separately?
- Right-angled triangle
Determine the area of a right triangle whose side lengths form successive members of an arithmetic progression, and the radius of the circle described by the triangle is 5 cm.
- Football 5788
Tomas has four football jerseys: red, blue, white, and green. How many ways can Tomáš place them on the shelf next to each other so that the red and blue jerseys are adjacent?
- Contains 5779
Juice contains 20% sugar, and apple juice contains 30% sugar. How much percent of sugar will be contained in a mixture of two liters of juice and three liters of apple juice?
- Variability
In the table below, the number of wrong produced goods in two shifts: morning shift: 2; 0; 6; 10; 2; 2; 4; 2; 5; 2; afternoon shift: 4; 4; 0; 2; 10; 2; 6; 2; 3; 10; Compare the variability in both shifts, compare the average number of wrong goods on both
- Tetrahedron
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical?
- Daffodils 5765
The gardeners planted 1,100 flowers. Pansy is 280 less than tulips, and daffodils are 40 more than pansies. a) how many flowers did they plant? b) of the planted flowers, 5% of tulips and 2% of daffodils dried up. How many flowers continued to grow?
- Four chocolates
Marek wanted to buy four chocolates but was short of 30 cents. So he bought three chocolates and chewing gum for twenty cents, and he still had 70 cents left. How much did the chocolate cost? How much did Marek have?
- Borrowing
I borrow 25,000 to 6.9% p.a. and pay 500 per month. How much will I pay and for how long?
- The sides
The sides of the rectangle are in a ratio of 3:5, and its circumference measures 72 cm. Calculate: a) the size of both sides of the rectangle b) the area of the rectangle c) the length of the diagonals
- The cruise ship
The cruise ship speeds 12 km/h at a calm surface. When we sailed 45 km along the river and 45 km back, it took us exactly 8 hours. Which (constant) speed of flow of the river?
- Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
- Kilograms 5738
The painter used 3.5 times more paint to paint the tin roof than the gutters. He used 3.1 kg more paint to paint the gutters than to paint the fence. In total, he used 20 kg of paint. How many kilograms of paint did he use to grease the roof, fence, and g
- Digit sum
The digit sum of the two-digit number is nine. When we turn figures and multiply by the original two-digit number, we get 2430. What is the original two-digit number?
- Endless lego set
The endless Lego set contains only 6, 9, and 20-kilogram blocks that can no longer be polished or broken. The workers took them to the gym and immediately started building different buildings. And, of course, they wrote down how much the building weighed.
- Resistance 5713
The kettle is connected to a voltage of 230 V. Its resistance is 130 ohms. What is the current flowing through the kettle?
- Perpendicular 5712
Adam and Boris go from school on two perpendicular paths. Adam's average speed is 6 km/h, and Borisova's is 8 km/h. How far will they be by air for 0.5 hours?
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